Article contents
Conformal variation of a hypersurface of constant mean curvature in an einstein space
Published online by Cambridge University Press: 09 April 2009
Abstract
Let a compact orientable manifold be immersed as a hypersurface of constant mean curvature in an Einstein space. It is shown that the immersion is totally umbilical if and only if there exists a conformal variation of the immersion whose variation vector is nowhere tangential to the hypersurface.
MSC classification
- Type
- Research Article
- Information
- Copyright
- Copyright © Australian Mathematical Society 1982
References
- 2
- Cited by